1670222400 has 336 divisors, whose sum is σ = 6833372160. Its totient is φ = 346982400.

The previous prime is 1670222399. The next prime is 1670222401. The reversal of 1670222400 is 42220761.

It is an interprime number because it is at equal distance from previous prime (1670222399) and next prime (1670222401).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1670222401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367341 + ... + 371859.

Almost surely, 2^1670222400 is an apocalyptic number.

1670222400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416686080).

1670222400 is an abundant number, since it is smaller than the sum of its proper divisors (5163149760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1670222400 is a wasteful number, since it uses less digits than its factorization.

1670222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1670222400 is about 40868.3545056563. The cubic root of 1670222400 is about 1186.4736602034.

The spelling of 1670222400 in words is "one billion, six hundred seventy million, two hundred twenty-two thousand, four hundred".